Stability properties of positive solutions to partial differential equations with delay

被引：0

作者：

Farkas, Gyula ^{[1
]}

Simon, Peter L. ^{[2
]}

机构：

[1] Istvan Szechenyi Coll, Dept Math, H-9026 Gyor, Hungary

[2] Univ Leeds, Sch Chem, Leeds LS2 9JT, W Yorkshire, England

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

semilinear equations with delay; stability of stationary solutions; convex nonlinearity; concave nonlineariry;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the stability of positive stationary solutions of semilinear initial-boundary value problems with delay and convex or concave nonlinearity. If the nonlinearity is monotone, then in the convex case f(0) <= 0 implies instability and in the concave case f(0) >= 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted.

引用

页数：8

共 50 条

[1] Stability of Solutions of Delay Differential Equations
Yskak T.
Siberian Advances in Mathematics, 2023, 33 (3) : 253 - 260
[2] Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps
Bao, Jianhai
Truman, Aubrey
Yuan, Chenggui
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2107): : 2111 - 2134
[3] New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application
Moaaz, Osama
Cesarano, Clemente
MATHEMATICS, 2021, 9 (16)
[4] EXISTENCE OF POSITIVE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS
Dorociakova, Bozena
Olach, Rudolf
DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2008, 2009, 43 : 63 - +
[5] Positive periodic solutions of delay differential equations
Olach, Rudolf
APPLIED MATHEMATICS LETTERS, 2013, 26 (12) : 1141 - 1145
[6] Stability of Semilinear Delay Equations with Positive Solutions
W. Desch
István Györi
Gábor Pongor
Positivity, 1997, 1 : 319 - 330
[7] Stability of semilinear delay equations with positive solutions
Desch, W
Gyori, I
Pongor, G
POSITIVITY, 1997, 1 (04) : 319 - 330
[8] POSITIVE SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
SAYLOR, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 21 (01) : 162 - &
[9] On stability of solutions of stochastic delay differential equations
Ngoc, Pham Huu Anh
Tran, Ky Quan
SYSTEMS & CONTROL LETTERS, 2022, 169
[10] Asymptotic stability of solutions delay differential equations
Peng, YH
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 859 - 866

← 1 2 3 4 5 →